Prime p₀= 1074970081695754841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

STPT(10)	1074969136817711921	0 2 30 32 78 80 126 128 156 158	-944878042920
STPT(10)	1074969197556914039	0 2 78 80 120 122 162 164 240 242	-884138840802
SPT(18)	1074969280181423023	0 34 70 78 94 108 124 130 138 160 168 174 190 204 220 228 264 298	-801514331818
TPT(14)	1074969539374088051	0 2 168 170 180 182 378 380 660 662 726 728 738 740	-542321666790
STPT(10)	1074969850802539607	0 2 24 26 42 44 60 62 84 86	-230893215234
TPT(14)	1074970068649865117	0 2 30 32 42 44 132 134 174 176 240 242 270 272	-13045889724
STPT(10)	1074970105859667707	0 2 30 32 42 44 54 56 84 86	24163912866
SPT(16)	1074970244330620951	0 42 70 88 112 136 166 172 216 222 252 276 300 318 346 388	162634866110
SPT(16)	1074970447458009419	0 14 30 42 72 114 122 150 272 300 308 350 380 392 408 422	365762254578
STPT(10)	1074970789652295659	0 2 12 14 30 32 48 50 60 62	707956540818
STPT(10)	1074970864653196097	0 2 30 32 72 74 114 116 144 146	782957441256